The order O α t α s $$ \mathcal{O}\left({\alpha}_t{\alpha}_s\right) $$ corrections to the trilinear Higgs self-couplings in the complex NMSSM

Mühlleitner, Margarete; Nhung, Dao Thi; Ziesche, Hanna

doi:10.1007/jhep12(2015)034

Cited by 29 publications

(53 citation statements)

References 141 publications

(210 reference statements)

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“…In Refs. [70,71], the leading O(α s α t ) corrections to λ hhh at two loops, computed using the effective-potential approximation, were found to be approximately 5 − 10% of the size of the one-loop corrections, and allowed a significant reduction of the scale dependence of the total results. In addition to this, a third reference, Ref.…”

Section: Introductionmentioning

confidence: 97%

“…Two-loop corrections to λ hhh have so far only been considered in a limited number of works in the literature, with different motivations. The earliest calculations were performed in the context of supersymmetric models, namely in the MSSM [70] and Next-to-MSSM (NMSSM) [71], in which Higgs boson masses can be and are calculated to high precision, making it necessary to compute also λ hhh to a similar level of accuracy. In Refs.…”

Section: Introductionmentioning

confidence: 99%

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Leading two-loop corrections to the Higgs boson self-couplings in models with extended scalar sectors

Braathen

Kanemura

2020

Eur. Phys. J. C

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We compute the dominant two-loop corrections to the Higgs trilinear coupling λ hhh and to the Higgs quartic coupling λ hhhh in models with extended Higgs sectors, using the effective-potential approximation.We provide in this paper all necessary details about our calculations, and present general MS expressions for derivatives of the integrals appearing in the effective potential at two loops. We also consider three particular Beyond-the-Standard-Model (BSM) scenarios -namely a typical scenario of an Inert Doublet Model (IDM), and scenarios of a Two-Higgs-Doublet Model (2HDM) and of a Higgs Singlet Model (HSM) without scalar mixing -and we include all the necessary finite counterterms to obtain (in addition to MS results) on-shell scheme expressions for the corrections to the Higgs self-couplings. With these analytic results, we investigate the possible magnitude of two-loop BSM contributions to the Higgs self-couplings and the fate of the non-decoupling effects that are known to appear at one loop. We find that, at least as long as pertubative unitarity conditions are fulfilled, the size of two-loop corrections remains well below that of one-loop corrections. Typically, two-loop contributions to λ hhh amount to approximately 20% of those at one loop, implying that the non-decoupling effects observed at one loop are not significantly modified, but also meaning that higher-order corrections need to be taken into account for the future perspective of precise measurements of the Higgs trilinear coupling.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Leading two-loop corrections to the Higgs boson self-couplings in models with extended scalar sectors

Braathen

Kanemura

2020

Eur. Phys. J. C

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“…The other existing works on two-loop contributions to λ hhh are computations of the leading two-loop SUSY-QCD corrections in the MSSM[26] and the NMSSM[27], and the calculation of (part of) the dominant two-loop scalar effects in the Inert Doublet Model[28].…”

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confidence: 99%

On two-loop corrections to the Higgs trilinear coupling in models with extended scalar sectors

Braathen

Kanemura

2019

Physics Letters B

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The Higgs trilinear coupling λ hhh is of great importance to understand the structure of the Higgs sector and allows searching for indirect signs of Beyond-the-Standard-Model (BSM) physics, even if new states are somehow hidden. In particular, in models with extended Higgs sectors, it is known that non-decouplings effects in BSM-scalar contributions at one loop can cause λ hhh to deviate significantly from its SM prediction, raising the question of what happens at two loops. We review here our calculation [1, 2] of the leading two-loop corrections to λ hhh in an aligned scenario of a Two-Higgs-Doublet Model. We find their typical size to be 10-20% of the one-loop corrections, meaning that they do not modify significantly the one-loop non-decoupling effects, but are not entirely negligible either. I. INTRODUCTIONThe discovery of the 125-GeV Higgs boson at the CERN LHC in 2012 has been a great success for particle physics, and has completed the particle spectrum of the Standard Model (SM). However, while it is now established that the Higgs sector is responsible for the electroweak symmetry breaking (EWSB), very little is known about the nature of the Higgs potential -in fact, only its minimum and the curvature around the minimum are known. Moreover, although some new physics must exist -possibly not too far from the electroweak (EW) scale -to address shortcomings of the SM, there is so far no clear sign of it in experiments. A first possible explanation for this could be that new physics only exists beyond the scale currently accessible at colliders, and hence their effects would be (almost) impossible to find. Another interesting possibility would be that the new states are made somehow difficult to observe via some symmetry or mechanism.A prime example of the latter is alignment [3], which is defined for models of several Higgs doublets as the limit in which the total EW vacuum expectation value (VEV) is colinear in field a Speaker.

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“…Indeed, to properly reproduce the decoupling limit in which the lightest scalar h has a SM-like self-coupling, λ SM hhh = 3 m 2 h /m 2 Z , the corrections to the coupling should be computed at the same level of accuracy as the corrections to the mass m h . The trilinear couplings are known at one loop [71][72][73][74][75], but at two loops only the O(α s α t ) corrections have been computed, in the effective-potential approximation, for both the MSSM [76] and the NMSSM [77]. In contrast, in this analysis we compute the MSSM Higgs masses and mixing using the code FeynHiggs [78][79][80][81][82], which includes two-loop corrections beyond the O(α s α t ) effectivepotential ones.…”

Section: Implementation In Hpairmentioning

confidence: 99%

NLO-QCD corrections to Higgs pair production in the MSSM

Agostini

Degrassi

Gröber

et al. 2016

J. High Energ. Phys.

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We take a step towards a complete NLO-QCD determination of the production of a pair of Higgs scalars in the MSSM. Exploiting a low-energy theorem that connects the Higgs-gluon interactions to the derivatives of the gluon self-energy, we obtain analytic results for the one-and two-loop squark contributions to Higgs pair production in the limit of vanishing external momenta. We find that the two-loop squark contributions can have non-negligible effects in MSSM scenarios with stop masses below the TeV scale. We also show how our results can be adapted to the case of Higgs pair production in the NMSSM.

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The order O α t α s $$ \mathcal{O}\left({\alpha}_t{\alpha}_s\right) $$ corrections to the trilinear Higgs self-couplings in the complex NMSSM

Cited by 29 publications

References 141 publications

Leading two-loop corrections to the Higgs boson self-couplings in models with extended scalar sectors

Leading two-loop corrections to the Higgs boson self-couplings in models with extended scalar sectors

On two-loop corrections to the Higgs trilinear coupling in models with extended scalar sectors

NLO-QCD corrections to Higgs pair production in the MSSM

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